Final answer:
The slope of the line passing through points (7,−7) and (8,−13) is calculated using the slope formula, resulting in a slope of -6.
Step-by-step explanation:
To calculate the slope of a line passing through two points, we use the formula slope (m) = (change in y) / (change in x), which can also be represented as (y2 - y1) / (x2 - x1). Given the points (7,−7) and (8,−13), we find the slope by subtracting the y-coordinate of the first point from the y-coordinate of the second point, and then dividing by the subtraction of the x-coordinate of the first point from the x-coordinate of the second point. So, the slope is (−13 - (−7)) / (8 - 7) = (−13 + 7) / 1 = -6 / 1, which simplifies to -6.